Hui Wang

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cs.CR2011

On $2 k$ -Variable Symmetric Boolean Functions with Maximum Algebraic Immunity $k$

Hui Wang, Jie Peng, Yuan Li +1

Algebraic immunity of Boolean function $f$ is defined as the minimal degree of a nonzero $g$ such that $f g = 0$ or $(f + 1) g = 0$ . Given a positive even integer $n$ , it is found that the…

cs.CR2011

Constructing and Counting Even-Variable Symmetric Boolean Functions with Algebraic Immunity not Less Than $d$

Yuan Li, Hui Wang, Haibin Kan

In this paper, we explicitly construct a large class of symmetric Boolean functions on $2 k$ variables with algebraic immunity not less than $d$ , where integer $k$ is given arbitrar…

On 2k-Variable Symmetric Boolean Functions with Maximum Algebraic Immunity k

Constructing and Counting Even-Variable Symmetric Boolean Functions with Algebraic Immunity not Less Than d

On $2 k$ -Variable Symmetric Boolean Functions with Maximum Algebraic Immunity $k$

Constructing and Counting Even-Variable Symmetric Boolean Functions with Algebraic Immunity not Less Than $d$